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101330223321006 = 232192312882052291
BaseRepresentation
bin10111000010100011000111…
…111101110100111110101110
3111021210002000111011202201100
4113002203013331310332232
5101240143244132233011
6555302243441023530
730225603252620301
oct2702430775647656
9437702014152640
10101330223321006
112a3179a7433809
12b446586924ba6
134470525966684
141b045a2338b38
15baac71c32d56
hex5c28c7f74fae

101330223321006 has 48 divisors (see below), whose sum is σ = 241152018906240. Its totient is φ = 30607756241040.

The previous prime is 101330223320933. The next prime is 101330223321007. The reversal of 101330223321006 is 600123322033101.

101330223321006 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 2 + 2 + 3 + 321 + 0 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330223321007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6441018280 + ... + 6441034011.

It is an arithmetic number, because the mean of its divisors is an integer number (5024000393880).

Almost surely, 2101330223321006 is an apocalyptic number.

101330223321006 is an abundant number, since it is smaller than the sum of its proper divisors (139821795585234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101330223321006 is a wasteful number, since it uses less digits than its factorization.

101330223321006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882052341 (or 12882052338 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101330223321006 its reverse (600123322033101), we get a palindrome (701453545354107).

The spelling of 101330223321006 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty-three million, three hundred twenty-one thousand, six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2622 3933 7866 12882052291 25764104582 38646156873 77292313746 115938470619 231876941238 244758993529 296287202693 489517987058 592574405386 734276980587 888861608079 1468553961174 1777723216158 2202830941761 2666584824237 4405661883522 5333169648474 5629456851167 11258913702334 16888370553501 33776741107002 50665111660503 101330223321006